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If A={1, 2, 3, 4, 5} and R:ArarrA is {(1...

If A={1, 2, 3, 4, 5} and `R:ArarrA` is {(1,2), (2,3), (4,5), (3,3)} then write `R^-1:ArarrA`.

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SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Let R is the equivalence in the set A = {0, 1, 2, 3, 4, 5} given by R ...

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  2. Is varphi an equivalence relaiton on any set?

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  3. If A={1, 2, 3, 4, 5} and R:ArarrA is {(1,2), (2,3), (4,5), (3,3)} then...

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  4. What is the range of the function f(x)=(|x-1|)/(x-1), x ne 1?

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  5. State the reason for the relation R in the set {1, 2, 3} given by R ={...

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  6. If R={(x, y): x +2y =8} is a relation on N, then write the range of R.

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  7. If a set A has n elements and another set B has m elements, what is th...

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  8. If a set A has n elements and another set B has m elements, what is th...

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  9. Write the relation R={(x,x^3):x is a prime numeber less than 10} is ro...

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  10. Let A={1,2}, B={1,2,3,4}: Write down the elements of AxxB.

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  11. Let A={1,2}, B={1,2,3,4}:How many relations will be there from A to B.

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  12. If A={1, 2, 3, 4, 5, 6} and a relation R on A is defined by R={(a, b):...

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  13. Let A={1, 2, 3, 5}, B={4, 6, 9}, A relation R form A to B is defined b...

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  14. Write the equivalence class [3]7 as a set.

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  15. Find [2](10)cap[1](13)

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  16. If f:{1, 3, 4} to {1,2,5} and g:{1,2,5} to {1, 3} given by f = {(1, 2)...

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  17. Let A={1, 2, 3} and let the relation R={(1, 2), (2, 3)} what is the mi...

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  18. If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} i...

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  19. If f:RrarrRand g:RrarrR are given by f(x)=8x^3 and g(x)=x^(1/3), then ...

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  20. If f(x)=(1-x^(3))^(1/3) then find fof(x).

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